305213620000 has 120 divisors (see below), whose sum is σ = 751256005500. Its totient is φ = 122022912000.

The previous prime is 305213619973. The next prime is 305213620007. The reversal of 305213620000 is 26312503.

It can be written as a sum of positive squares in 10 ways, for example, as 17063674384 + 288149945616 = 130628^2 + 536796^2 .

It is not an unprimeable number, because it can be changed into a prime (305213620007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75377976 + ... + 75382024.

Almost surely, 2^305213620000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305213620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375628002750).

305213620000 is an abundant number, since it is smaller than the sum of its proper divisors (446042385500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305213620000 is an equidigital number, since it uses as much as digits as its factorization.

305213620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 305213620000 its reverse (26312503), we get a palindrome (305239932503).

The spelling of 305213620000 in words is "three hundred five billion, two hundred thirteen million, six hundred twenty thousand".